The radius of the cylinder's base is 8, so the volume of the cylinder is 

 (using the approximation of 

).
The sphere has radius 6, so the volume of the sphere is 

.
The volume of the shaded region is the difference between the two: 3617.28 - 904.32 = 2712.96. Rounded to the nearest integer gives an answer of 2713.
 
        
        
        
$5.5
Step-by-step explanation:
½ × 11.00
5.5
Hope this helps. Have a good day!
 
        
                    
             
        
        
        
Answer:
y = 7x / 9
Step-by-step explanation:
 
        
             
        
        
        
Answer: D, -1
First, plug in the value -1 for x in f(x) first. 

 can then be simplified to 

 because 

. Next, put the value -1 for x in the equation g(x). This will look like 

.
The final step is to evaluate f(x) divided by g(x). f(x) = 1/2 and g(x) = -1/2, so when divided, you get -1.
 
        
                    
             
        
        
        
<span>You are under contract to design a storage building with a square base and a volume of 12000 cubic feet. the cost of materials is $4 per square foot for the floor, $18 per square foot for the walls and $6 per square foot for the roof. find the width of the square base that minimizes the cost of materials. XD
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